{
  "annotation_id": "eb356338-0753-4849-a175-688540577be0",
  "date_created": "2026-03-02T18:02:34.366000Z",
  "date_modified": "2026-03-02T18:02:34.366000Z",
  "file_hash": "4b2bd4808ec297eab21e7b627f58710b354d43e5d2e62c321bd1035a4c15df81",
  "private": false,
  "record": {
    "abstract": "We study the three-body problem in one dimension for both zero and finite\nrange interactions using the adiabatic hyperspherical approach. Particular\nemphasis is placed on the threshold laws for recombination, which are derived\nfor all combinations of the parity and exchange symmetries. For bosons, we\nprovide a numerical demonstration of several universal features that appear in\nthe three-body system, and discuss how certain universal features in three\ndimensions are different in one dimension. We show that the probability for\ninelastic processes vanishes as the range of the pair-wise interaction is taken\nto zero and demonstrate numerically that the recombination threshold law\nmanifests itself for large scattering length.",
    "arxiv_id": "quant-ph/0703127",
    "authors": [
      "N. P. Mehta",
      "B. D. Esry",
      "C. H. Greene"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.76.022711",
    "title": "Three-Body Recombination in One Dimension",
    "url": "https://arxiv.org/abs/quant-ph/0703127"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "5afdd447-52d5-45d7-b09b-f19be40cdbb3",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}